Generalization of adaptive cross approximation for time‐domain boundary element methods

Abstract: A numerical approach to the solution of the wave equation is performed by means of the boundary element method. In the interest of increasing the efficiency of this method a low‐rank approximation such as the adaptive cross approximation is carried out. We discuss a generalization of the adaptive cross approximation to approximate a three‐dimensional array of data. In particular, we perform an approximation of an array of boundary element matrices in the Laplace domain. The proposed scheme is illustrated by preliminary numerical experiments.

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• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Generalization of adaptive cross approximation for time‐domain boundary element methods ; volume:19 ; number:1 ; year:2019 ; extent:2 ; Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)

Contributors, Places and Time

• Creator: Haider, Anita Maria ; Schanz, Martin

Further information

• DOI: 10.1002/pamm.201900072
• URN: urn:nbn:de:101:1-2022072207482962164417
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.